4457628 has 108 divisors (see below), whose sum is σ = 13868400. Its totient is φ = 1206576.

The previous prime is 4457623. The next prime is 4457639. The reversal of 4457628 is 8267544.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4³ + 4⁴ + 5⁹ + 7⁷ + 6⁸ + 2⁹ + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 4457592 and 4457601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4457623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234603 + ... + 234621.

Almost surely, 2^4457628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4457628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6934200).

4457628 is an abundant number, since it is smaller than the sum of its proper divisors (9410772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4457628 is a wasteful number, since it uses less digits than its factorization.

4457628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 31 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4457628 is about 2111.3095462295. The cubic root of 4457628 is about 164.5765450315.

The spelling of 4457628 in words is "four million, four hundred fifty-seven thousand, six hundred twenty-eight".